Least Common Multiple of 5729 and 5733
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5729 and 5733 the smallest integer that is 32844357 that is divisible by both numbers.
Least Common Multiple (LCM) of 5729 and 5733 is 32844357.
LCM(5729,5733) = 32844357
LCM of 5729 and 5733
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5729 and 5733 by Prime method
- Least Common Multiple of 5729 and 5733 with GCF Formula
LCM of 5729 and 5733 is 32844357
Least common multiple can be found by multiplying the highest exponent prime factors of 5729 and 5733. First we will calculate the prime factors of 5729 and 5733.
Prime Factorization of 5729
| 17 | 5729 |
| 337 | 337 |
| 1 |
Prime factors of 5729 are 17,337. Prime factorization of 5729 in exponential form is:
5729 = 171×3371
Prime Factorization of 5733
| 3 | 5733 |
| 3 | 1911 |
| 7 | 637 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 5733 are 3, 7,13. Prime factorization of 5733 in exponential form is:
5733 = 32×72×131
Now multiplying the highest exponent prime factors to calculate the LCM of 5729 and 5733.
LCM(5729,5733) = 32×72×131×171×3371
LCM(5729,5733) = 32844357
Factors of 5729
List of positive integer factors of 5729 that divides 5729 without a remainder.
1, 17, 337, 5729
Factors of 5733
List of positive integer factors of 5733 that divides 5733 without a remainder.
1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733
Least Common Multiple of 5729 and 5733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5729 and 5733, than apply into the LCM equation.
GCF(5729,5733) = 1
LCM(5729,5733) = ( 5729 × 5733) / 1
LCM(5729,5733) = 32844357 / 1
LCM(5729,5733) = 32844357
Properties of LCM 5729 and 5733
(i) The LCM of 5733 and 5729 is associative
LCM of 5729 and 5733 = LCM of 5733 and 5729
Related Least Common Multiples of 5729
Related Least Common Multiples of 5733
Frequently Asked Questions on LCM of 5729 and 5733
1. What is the LCM of 5729 and 5733?
Answer: LCM of 5729 and 5733 is 32844357.
2. What are the Factors of 5729?
Answer: Factors of 5729 are 1, 17, 337, 5729. There are 4 integers that are factors of 5729. The greatest factor of 5729 is 5729.
3. What are the Factors of 5733?
Answer: Factors of 5733 are 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733. There are 18 integers that are factors of 5733. The greatest factor of 5733 is 5733.
4. How to Find the LCM of 5729 and 5733?
Answer:
Least Common Multiple of 5729 and 5733 = 32844357
Step 1: Find the prime factorization of 5729
5729 = 17 x 337
Step 2: Find the prime factorization of 5733
5733 = 3 x 3 x 7 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32844357 = 3 x 3 x 7 x 7 x 13 x 17 x 337
Step 4: Therefore, the least common multiple of 5729 and 5733 is 32844357.